Finite Abelian Groups, Elliptic Curves, Blockchain with Hashing and Graphs

Edited by
Seddik Abdelalim
LMFA, FSAC, University Hassan II of Casablanca, Morocco.

Ilias Elmouki
LMFA, FSAC, University Hassan II of Casablanca, Morocco.

Noreddine Abghour
LIS Labs, FSAC, University Hassan II of Casablanca, Morocco.

ISBN 978-81-992493-9-4 (Print)
ISBN 978-81-992493-1-8 (eBook)
DOI: https://doi.org/10.9734/bpi/mono/978-81-992493-9-4

The book was organized in nine chapters that divide it into two parts. The first part was dedicated to the fundamentals and theoretical concepts that are indispensable to the main topics of the project, as well as a list of many exercises introduced with solutions to adequately surrounding the subject. As for the second part, it was dedicated to solved problems by the authors, bringing lecturing and research into practice through Python programming.

Media Promotion:

Finite Abelian Groups, Elliptic Curves, Blockchain with Hashing and Graphs

Contents

Introductory Essentials to Finite Abelian Groups

Introductory Essentials to Finite Fields

Introductory Essentials to Elliptic Curves

Introductory Essentials to Blockchain, Hashing and Graphs

Introductory Essentials to Python Programming

Computational Techniques in Finite Group Theory: Python Implementations and Applications

A Python Programming Initiative for Elliptic Curves over Finite Fields

A Python Programming Initiative for Hash Construction through the Example of SHA-2

Advancing Blockchain Security Using Graph Theory: A Python Programming Perspective